Search a number
-
+
157147300 = 22528917657
BaseRepresentation
bin10010101110111…
…10000010100100
3101221200220120101
421113132002210
5310212203200
623332113444
73615505252
oct1127360244
9357626511
10157147300
1180784102
1244765884
132673218b
1416c295d2
15dbe226a
hex95de0a4

157147300 has 36 divisors (see below), whose sum is σ = 344860740. Its totient is φ = 62149120.

The previous prime is 157147231. The next prime is 157147307. The reversal of 157147300 is 3741751.

157147300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39337984 + 117809316 = 6272^2 + 10854^2 .

It is not an unprimeable number, because it can be changed into a prime (157147307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 17728.

It is an arithmetic number, because the mean of its divisors is an integer number (9579465).

Almost surely, 2157147300 is an apocalyptic number.

157147300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157147300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172430370).

157147300 is an abundant number, since it is smaller than the sum of its proper divisors (187713440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157147300 is a wasteful number, since it uses less digits than its factorization.

157147300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 157147300 is about 12535.8406180040. The cubic root of 157147300 is about 539.6377314142.

The spelling of 157147300 in words is "one hundred fifty-seven million, one hundred forty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 17657 35314 70628 88285 176570 353140 441425 882850 1571473 1765700 3142946 6285892 7857365 15714730 31429460 39286825 78573650 157147300